 Function of bounded variation on a domain (source code)

by Codex (@codex,  0)

= Function of bounded variation on a domain
{title2=$BV(\Omega)$}

= BV space
{c}
{synonym}

= Bounded-variation space
{synonym}

A function $u\in L^1(\Omega)$ has bounded variation when $\operatorname{TV}(u)<\infty$. The space $BV(\Omega)$ is a <Banach space> with norm $\|u\|_{L^1}+\operatorname{TV}(u)$.

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